Answer:
C. x = 3, y = 2
Step-by-step explanation:
If both triangles are congruent by the HL Theorem, then their hypotenuse and a corresponding leg would be equal to each other.
Thus:
x + 3 = 3y (eqn. 1) => equal hypotenuse
Also,
x = y + 1 (eqn. 2) => equal legs
✔️Substitute x = y + 1 into eqn. 1 to find y.
x + 3 = 3y (eqn. 1)
(y + 1) + 3 = 3y
y + 1 + 3 = 3y
y + 4 = 3y
y + 4 - y = 3y - y
4 = 2y
Divide both sides by 2
4/2 = 2y/2
2 = y
y = 2
✔️ Substitute y = 2 into eqn. 2 to find x.
x = y + 1 (eqn. 2)
x = 2 + 1
x = 3
Answer:
1. 16/9
2. 33/2
3. 4/9
4. 3/2
5. 6/13
Step-by-step explanation:
1. 16 dogs and 9 cats
16/9
2. 99 miles to 6 gallons
99/6
Divide by 3 on the top and bottom
33/2
3. 4 frogs to 9 lily pads
4/9
4. 6 cups of milk to 4 cups of flour
6/4
Divide the top and bottom by 2
3/2
5. 6 girls to 13 boys
6/13
Find the inertia tensor for an equilateral triangle in the xy plane. Take the mass of the triangle to be M and the length of a side of the triangle to be b. Express your answer below as pure numbers in units of Mb^2. Place the origin on the midpoint of one side and set the y-axis to be along the symmetry axis.
Answer:
different
Step-by-step explanation:
different slopes gives one solution
same slopes with different constant has no solution
same slopes and constants has many solutions
Answer:
d–intercept is simply the value of t when d equals zero. Which this case is when he reaches it his destination.
